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Gre4nikov [31]
4 years ago
11

The distance between the points (2,-1,-8) and (6,-3,4)

Mathematics
1 answer:
SOVA2 [1]4 years ago
5 0
distance= \sqrt{(6-2)^2+(-3-(-1))^2+(4-(-8))^2}  \\ \\ =\sqrt{4^2+ (-2)^2+12^2}  \\ \\ = \sqrt{16+4+144}\\\\= \sqrt{164}  \\\\=2 \sqrt{41}


C.
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Find the slope of the line that passes through the following points (2,5) (5,11)
adoni [48]

Answer:

the slope is 2

Step-by-step explanation:

take y2 and y1 and subtract them, 11 - 5 = 6

then take x2 and x1 and subtract them, 5 - 2 = 3

then divide those 2 numbers, 6/3 and you get 2

4 0
3 years ago
Read 2 more answers
A weatherman stated that the average temperature during July in Chattanooga is 80 degrees or less. A sample of 32 Julys is taken
baherus [9]

Answer:

The correct set of hypotheses is

H_{0}: d=80 degrees

H_{0}: d>80 degrees

Step-by-step explanation:

The weatherman claims that the average temperature during July in Chattanooga is 80 degrees or less. To test this claim, following hypotheses need to be taken:

Let d be the the average temperature during July in Chattanooga, then

H_{0}: d=80 degrees

H_{0}: d>80 degrees

7 0
3 years ago
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Lana71 [14]

Answer:

  (0, 24]

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In interval notation, this is

  (0, 24]

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We note that this is not one of your answer choices. You may want to discuss this with your teacher.

5 0
4 years ago
What is the projection of (4,4) onto (3,1)?
Ostrovityanka [42]
Let's define the vectors:
 U = (4.4)
 V = (3.1)
 The projection of U into V is proportional to V
 The way to calculate it is the following:
 Proy v U = [(U.V) / | V | ^ 2] V
 Where U.V is the point product of the vectors, | V | ^ 2 is the magnitude of the vector V squared and all that operation by V which is the vector.
 We have then:
 U.V Product:
 U.V = (4,4) * (3,1)
 U.V = 4 * 3 + 4 * 1
 U.V = 12 + 4
 U.V = 16
 Magnitude of vector V:
 lVl = root ((3) ^ 2 + (1) ^ 2)
 lVl = root (9 + 1)
 lVl = root (10)
 Substituting in the formula we have:
 Proy v U = [(16) / (root (10)) ^ 2] (3, 1)
 Proy v U = [16/10] (3, 1)
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 Proy v U = [1.6] (3, 1)
 Proy v U = (4.8, 1.6)

 Answer:
 the projection of (4,4) onto (3,1) is:
 Proy v U = (4.8, 1.6)
6 0
3 years ago
How much exercise can one person do in 5/2 minutes
ExtremeBDS [4]
Is that 5 hours 2 mins or 2.5min

4 0
3 years ago
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